English

Classification of complete projective special real surfaces

Differential Geometry 2017-05-17 v1 High Energy Physics - Theory

Abstract

We determine all complete projective special real surfaces. By the supergravity r-map, they give rise to complete projective special K\"ahler manifolds of dimension 6, which are distinguished by the image of their scalar curvature function. By the supergravity c-map, the latter manifolds define in turn complete quaternionic K\"ahler manifolds of dimension 16.

Keywords

Cite

@article{arxiv.1302.4570,
  title  = {Classification of complete projective special real surfaces},
  author = {Vicente Cortés and Malte Dyckmanns and David Lindemann},
  journal= {arXiv preprint arXiv:1302.4570},
  year   = {2017}
}

Comments

30 pages

R2 v1 2026-06-21T23:28:37.330Z